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Online Tuition Brisbane Australia

Online Tuition Brisbane Australia

Online Tuition Brisbane Australia, Al Saudia provides best tutoring services all over the world.

Online Tuition Brisbane Australia

Online Tutor Australia is the world leader with regard to online & collaborative learning processes, learning enhancement and professional educational services.
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Online Math Tuition Pakistan

Online Math Tuition Pakistan

Online Math Tuition Pakistan, Al Saudia provides best online services all over Pakistan.

Online Math Tuition Pakistan

Calculus:

Calculus is a tool used to measure change or variation of a function with respect to the independent variable.

Differential Calculus:

It is the branch of calculus used to measure change or variation of a function in a very small interval of time, the techniques use to measure such changes is called “differentiation”.
Integral Calculus:

It is the branch of calculus used to measure changes or variation over an interval of independent variable, e.g to find length of curve, the area of region and the volume of a solid in a specified period of time.

The technique used to measure such changes or variation is called “Integration” or “Antiderivatives”. It a reverse process of differentiation.

Mathematically, Integration is defined as “ If f’(x) represents the differential coefficient of f(x), then the problem of integration is given f’(x), find f(x) or given dy/dx, find y.

Notation: ”∫” is used to show the integration, it is a symbol of “S” derived from the word “Sum”. i.e. Integration is a process in which we have to sum up the derivatives over a specified interval and to find the function.

Techniques of Integration:

As we know that integration is the reverse process of differentiation, our problem is to find the function f(x) or Y, when f’(X) or dy/dx is given.

dy/dx = f’(X)

∫dy = ∫f ’(X)dx

Y= f(x) is our solution
Ist Formula of Integration (1st Rule of Integration)

Indefinite Integration:

Ist Formula of Integration (Ist Rule of Integration):
Let ∫ dy = ∫ xndx

y = xn+1/n+1  + C
Why “C”:

In the process of differentiation, we eliminate constant, as the derivative of a constant is “zero”.

So, In functions like Xn, Xn+ 6, Xn + 3 ,  Xn – K, the derivatives of all of them is Xn-1, in finding the anti derivative of  Xn-1, we put a constant “C”, as we don’t know which constant was present in the original function, and this can be found If we have initial boundary values (Definite Integral).

Example: Solve ∫x3dx

Solution:        x3+1/3+1 + C   = x4/4 + C

Example: Solve ∫(x3 + x2 + 5x + 6)dx

Solution:      ∫x3dx + ∫x2dx + ∫5xdx + ∫6dx

X4/4 + x3/3 + 5×2/2+ 6x + C

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Online Mathematics Tuition Australia

Online Mathematics Tuition Australia

Online Mathematics Tuition Australia, Al Saudia provides best online tutoring services all over the world.

Online Mathematics Tuition Australia

Mathematics Tuition Australia

Mathematics Tuition Australia, with over 30 years of experience of teaching mathematics, Professor Masood Amir, The CEO of Al Saudia Virtual Academy, offers online tutoring in math and statistics.
The professor is teaching all major branches of mathematics for decades. He is an expert of teaching calculus, algebra, trigonometry, linear algebra, advance calculus, geometry and trigonometry.
Online Tuition Australia, has a team of highly educated mathematics professors, lecturers and teachers. Our experienced tutors can teach you mathematics of Edexcel, I.G.C.S.E., G.C.S.E., A.Q.A., I.B., (HL/SL), Federal Board, Canadian, American and Australian curriculum.
Online Tuition Australia, Rich Experience of more than 30 years in providing top class Math Online tutors plus other subjects one-to-one Online tutors. Massive Advertising, Marketing and Promotion etc. to attract the best Math Online instructors and clients too.- Solid database and network of Math tutors in almost all areas of Australia, Perth, Sydney, Melbourne, Canberra, Adelaide, Brisbane.
Online Tuition Australia, online expert math tutors are available 24/7 for K 12, F 10,  Edexcel, I.G.C.S.E., G.C.S.E., A.Q.A., I.B (H.L/S.L), Federal Board, Canadian, American and Australian curriculum (Foundation and Higher Grades).
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I.G.C.S.E., Math Tutor, G.C.S.E., F 10 and K 12 Math Tutor, Mathematics Mechanics Notes ( B. Sc), Mathematics M.A. Past Papers, A.Q.A., Mathematics, C.I.E., Core math, Mechanics and Statistics.

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Projectile Motion Bsc Mechanics Notes

Projectile Motion Bsc Mechanics Notes

Projectile: Any material body moving in space under the action of gravity on a curved path. the path of it is called parabola.

Al-Saudia Virtual Acdemy, Online Tuition Pakistan provides complete and comprehensive notes of Mechanics. Also notes of statistics, Physics, economics and other subjects.

Projectile Motion

Following topics

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Motion Rigid Body System Mechanics Notes

Motion Rigid Body System

Motion Rigid Body System: motion of rigid body and of system, moment of inertia, product of inertia, moment of inertia of rod etc.

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Motion Rigid Body System

To ease our student we are providing excellent and expert tutors notes, also worksheets and lectures here on this website.

Notes on the subject are as follows:

You are also interested in these topics:

Kinematics Bsc Mechanics Free Notes

Rectilinear Motion Mechanics notes

Dynamics Methods Mechanics Notes Bsc

Impulsive Motion Mechanics Notes Bsc

 

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Impulsive Motion Mechanics Notes Bsc

Impulsive Motion

Impulsive motion: if a force F acts for a small time ‘t’ its impulse is defined as  the product of Force and Time.

impulsive motion

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ASVA providing complete and comprehensive notes of B.Sc., Mechanics.

 

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Dynamics Methods Mechanics Notes Bsc

Dynamics Methods

Dynamics Methods, Mechanics notes – Al-Saudia Virtual Academy, provides complete and comprehensive notes of Bsc mechanics.

methods of dynamics cover important topics, theorems, problem and questions with solutions.

Dynamics Methods

All notes are in pdf format, you can send your questions and queries on our email: admin@alsaudiavirtualacademy.com

Topics related to dynamics methods are as follows:

 

 

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Rectilinear Motion Mechanics notes

Rectilinear Motion Mechanics notes 

Rectilinear motion – The motion of a body or particle along a straight line is called Mechanics Notes.

Rectilinear Motion

Equations of Motion for the uniformly accelerated motion. equations of motion.

third equation of motion.

velocity dependent acceleration. for more detail

distance dependent acceleration

Graphical method. these method are bases on the following results. graphical method.

Vertical motion under the gravitational force of the Earth. vertical motion

Simple Harmonic Motion: The vibrating motion in which acceleration is proportional to displacement and is directed towards the mean position or equilibrium position ‘O’ is called simple harmonic motion.

the nature of simple harmonic motion. The maximum and minimum value of ‘x’ lies between ‘a’ and ‘-a’.

amplitude of S.H.M. Velocity of the particle is zero at the two extreme point, and the complete round or back to the mean position is called a vibration or one oscillation.

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Kinematics Bsc Mechanics Free Notes

Kinematics Bsc Mechanics Free Notes

Kinematics Bsc Mechanics Free Notes, Al-Saudia Virtual Academy, with a history of excellencet online tutoring academy provides comprehensive and complete notes of B.Sc Mechanics.

Complete notes with solutions of important question.

Kinematics Bsc Mechanics Free Notes

Notes:

Dynamics: is the branch of mechanics which deals the bodies in motion.

Kinematics: Is the branch of dynamics in which we study the motion of bodies without consideration of the force which causes it.

Kinetics: Is the branch of dynamics in which we study the motion of the bodies with consideration of the force or agent which causes it.

Kinematics – notes

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